3,604,315

5 × 11 × 13 × 71²

3,604,315 has digital root 4. The neighboring primes are 3604313 and 3604327; its proper-divisor sum differs from the starting integer by -2,054,726.

Prime Factor Structure

Factorization String 5 × 11 × 13 × 71^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,153,904

Proper Divisor Sum 1,549,589

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3604313 ← → #3604327

Radix Representation

Decimal	3604315
Binary	1101101111111101011011 (22 bits)
Octal	0o15577533
Hexadecimal	0x36FF5B

Divisor Catalog (24)

1 5 11 13 55 65 71 143 355 715 781 923 3,905 4,615 5,041 10,153 25,205 50,765 55,451 65,533 277,255 327,665 720,863 3,604,315

Collatz Trajectory (234 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,604,315 10,812,946 5,406,473 16,219,420 8,109,710 4,054,855 12,164,566 6,082,283 18,246,850 9,123,425 27,370,276 13,685,138 6,842,569 20,527,708 10,263,854 5,131,927 15,395,782 7,697,891 23,093,674 11,546,837 34,640,512 17,320,256 8,660,128 4,330,064 2,165,032 1,082,516 541,258 270,629 811,888 405,944 202,972 101,486 50,743 152,230 76,115 228,346 114,173 342,520 171,260 85,630 42,815 128,446 64,223 192,670 96,335 289,006 144,503 433,510 216,755 650,266 325,133 975,400 487,700 243,850 121,925 365,776 182,888 91,444 45,722 22,861

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